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A BV subtlety

Mathematical Physics 2007-11-20 v1 math.MP

Abstract

The standard BV complex is never acyclic provided that the equations of motion have solutions and the admissible class of functions is general enough, unless one introduces second-order antifields. This phenomenon is explicitly illustrated for the harmonic oscillator and the free electromagnetic field.

Cite

@article{arxiv.0711.2927,
  title  = {A BV subtlety},
  author = {T. A. Larsson},
  journal= {arXiv preprint arXiv:0711.2927},
  year   = {2007}
}

Comments

8 pages

R2 v1 2026-06-21T09:44:50.847Z